For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
1)
How many more squares must I shade to get a figure of 40 cm²
squares
Answer:_______________
2)
How many more squares must I shade to get a figure of 41 cm²
squares
Answer:_______________
3)
How many more squares must I shade to get a figure of 37 cm²
squares
Answer:_______________
4)
How many more squares must I shade to get a figure of 30 cm²
squares
Answer:_______________
5)
How many more squares must I shade to get a figure of 29 cm²
squares
Answer:_______________
6)
How many more squares must I shade to get a figure of 24 cm²
squares
Answer:_______________
7)
How many more squares must I shade to get a figure of 38 cm²
squares
Answer:_______________
8)
How many more squares must I shade to get a figure of 28 cm²
squares
Answer:_______________
9)
How many more squares must I shade to get a figure of 34 cm²
squares
Answer:_______________
10)
How many more squares must I shade to get a figure of 35 cm²
squares
Answer:_______________
1)
How many more squares must I shade to get a figure of 40 cm²
Answer: 21 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 40 cm2 - 19 cm2 = 21
I must shade 21 more squares.
2)
How many more squares must I shade to get a figure of 41 cm²
Answer: 22 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 41 cm2 - 19 cm2 = 22
I must shade 22 more squares.
3)
How many more squares must I shade to get a figure of 37 cm²
Answer: 18 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 37 cm2 - 19 cm2 = 18
I must shade 18 more squares.
4)
How many more squares must I shade to get a figure of 30 cm²
Answer: 11 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 30 cm2 - 19 cm2 = 11
I must shade 11 more squares.
5)
How many more squares must I shade to get a figure of 29 cm²
Answer: 10 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 29 cm2 - 19 cm2 = 10
I must shade 10 more squares.
6)
How many more squares must I shade to get a figure of 24 cm²
Answer: 5 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 24 cm2 - 19 cm2 = 5
I must shade 5 more squares.
7)
How many more squares must I shade to get a figure of 38 cm²
Answer: 19 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 38 cm2 - 19 cm2 = 19
I must shade 19 more squares.
8)
How many more squares must I shade to get a figure of 28 cm²
Answer: 9 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 28 cm2 - 19 cm2 = 9
I must shade 9 more squares.
9)
How many more squares must I shade to get a figure of 34 cm²
Answer: 15 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 34 cm2 - 19 cm2 = 15
I must shade 15 more squares.
10)
How many more squares must I shade to get a figure of 35 cm²
Answer: 16 squares
SOLUTION 1 :
Step 1: Area of 1st rectangle : 5 x 2 = 10 cm2 Step 2: Area of 2nd rectangle = 4 x 2 = 8 cm2 Step 3: Area of 1st triangle : cm2 Step 4: Area of 2nd triangle : cm2 Step 5: Total area of the figure : 10 + 8 + + = 19 cm2 Step 6: How many more squares left : 35 cm2 - 19 cm2 = 16
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